Inflation is directly related to aggregate demand. If aggregate demand gets too high at any given time, then prices rise. Aggregate demand gets too high when people have too much money to spend and want to spend more of it than there are goods and services in the economy to accommodate, including the capacity of producers to increase goods and services to meet the demand. (In other words, increasing aggregate demand will not cause inflation if there is capacity in the economy to produce more real goods and services to meet it. For example, unemployment represents capacity to meet higher aggregate demand without creating inflation.) Aggregate demand is most effectively decreased through taxation (taking people's money away). Aggregate demand is most effectively stimulated through spending (giving people money!).
Thinking back to your last question, is it that you think that the build up of debt over time will create inflation?
There is no real debt. The "debt" is just a savings program that the government operates on the side. (You can think of it as a national bank that only offers savings accounts.) There is a (stupid) law that forces the government to expand this savings program whenever it wants to spend more money than it takes in through taxation. But that's the same kind of stupid law as requiring the government keep spending constant. There's no need for it. Anyway, whenever the government net spends, the law says it has to let people put more money into savings accounts held at the national bank. The government never
needs to run these savings accounts, i.e., "issue debt," to net spend, because it is the creator of money in the first place. We could get rid of the national bank (bonds) tomorrow (or, at least, stop issuing new bonds, i.e., stop allowing people to put
more money into their savings accounts than already exists).
But it's also important to understand that the promises made by the government when it runs this savings program ("issues debt") are no different from the promises it makes when it runs, say, a social security program. Both are promises to pay somebody money in the future. If a government reduces social security benefits, this is not at all different from defaulting on an interest payment for a bond (i.e., refusing to pay the interest off money put into one's saving account at the national bank).
See:
http://bilbo.economicoutlook.net/blog/?p=15348 ("From a MMT perspective it is preferable that governments stop issuing debt at all maturities. Sure enough debt-issuance is just an elaborate form of welfare assistance the benefits of which are skewed to the more advantaged members of the society.") <-- He's talking about the national bank, a government spending program which primarily only benefits higher income earners (who have the discretionary income to put money into these interest bearing savings accounts).